Problem $2$: $(40$ points$)$

Use the following material and section properties to answer $($a$)$ and $($b$)$:

Concrete compressive strength $(f^{\text{'}}c)=5000$

Steel yield stress $(f_y)=60$ksi

Diameter of aggregate $(d_{\text{a}\text{g}\text{g}})=\frac{3}{4}$ inch

Beams are located outside and exposed to the weather on all sides

Assume the beam meets the minimum concrete cover requirements for ACI $318$

a$)$ Calculate the flexural capacity of the beam $(M_n)$ using the minimum cover requirements in ACI $318$ for the location of the rebar. The top of the opening is located $4$ inches from the top of the beam.

b$)$ Check whether the beam meets the minimum spacing and area of steel requirements for the longitudinal steel per ACI $318.$

c$)$ Describe how the opening plays a role within calculating flexural capacity of the beam $(M_n).$